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Popular >

expand (2a^2+2)^3

Solution

expand

(2 a^{2} + 2)^{3}

Solution

8 a^{6} + 24 a^{4} + 24 a^{2} + 8

Solution steps

(2 a^{2} + 2)^{3}

Apply Perfect Cube Formula:

(a + b)^{3} = a^{3} + 3 a^{2} b + 3 a b^{2} + b^{3}

(2 a^{2} + 2)^{3} = (2 a^{2})^{3} + 3 (2 a^{2})^{2} \cdot 2 + 3 \cdot 2 a^{2} \cdot 2^{2} + 2^{3}

= (2 a^{2})^{3} + 3 (2 a^{2})^{2} \cdot 2 + 3 \cdot 2 a^{2} \cdot 2^{2} + 2^{3}

Simplify

(2 a^{2})^{3} + 3 (2 a^{2})^{2} \cdot 2 + 3 \cdot 2 a^{2} \cdot 2^{2} + 2^{3} : 8 a^{6} + 24 a^{4} + 24 a^{2} + 8

= 8 a^{6} + 24 a^{4} + 24 a^{2} + 8

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Frequently Asked Questions (FAQ)

What is expand (2a^2+2)^3 ?
The solution to expand (2a^2+2)^3 is 8a^6+24a^4+24a^2+8